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Q: Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following: a) Give the domain of the function ...

A: a) First obtain the singularity for the given function as follows.The denominator of the given fract...

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We first have to factor the numerator and the denominator. 

Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and midpoin...

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: For the sequence 1, 4, 7, 10,..., its nth term is Preview My Answers Submit Answers ou have attempte...

A: The given sequence is 1,4,7,10, ...

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: How can I get the result? Which is the result?

A: The definite integral is given by,

Q: If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above

A: The given function is,

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as  

Q: The growth of Mary's income is modelled using the continuous stream f(t)=3,000+0.05t2 where t is the...

A: Given:The growth of Mary’s income is represented by the continuous stream f(t)=3000+0.05t2.Here, t r...

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: A function and its first and second derivatives are given. Use these to find the relative maxima, re...

A: In this question, we have function, its first derivative and second derivative using that we have to...

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2  and g(y)=1/y-2.

Q: differentiate f(t) = t^(1/3)/ (t-3) On the solution guide on the first step for the numerator, we ha...

A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any numb...

Q: Use the following definitions to prove that lim x 0 x0+ Assume f exists for all x near a with x > a....

A: The given limit function is,

Q: Find the function F that satisfies the following differential equations and initial conditions F'''(...

A: We are given second derivative as 

Q: Need help with D, E, and F.  Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below: 

Q: For  y= (x^4/4)-(x^3/3)-2   (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function  

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

Q: Let (0 ifx-5 f(x) 0 ifz 4 and 9(x)-f(t)dt 5 Determine the value of each of the following (d) g(5) (e...

A: The functions are given as

Q: Evaluate the following integrals (a) x^5dx (b)(5^2+x^10)dx (c) (12x^5+12x^3-7)dx (d) (x^3-7-(3/x^4))...

A: You have asked a question with multiple sub parts. I will address the first three of them. Please po...

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Consider the provided curve:

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers.  Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,

Q: Hello,  How do I know when the limit is since it is not going by pi/6, pi/4, pi/3, pi/2, pi, and 2pi...

A: As a first step I will respond to your specific question "What is the limit? Or how do i know when t...

Q: Help with #5

A: Given curve: r(t) = (2cost)i + (2sint)j + tkRecall the expressions for unit tanget and principal uni...

Q: Find the slope of the tangent line to the given polar curve: r = 2 - sin(theta), at theta = (pi/3) s...

A:

Q: Find d^2y/dx^2 as a function of t, for the given  parameteric equations written below show all work ...

A: From the parametric equation, the derivative dy/dx can be calculated as follows.

Q: The heat flow vector field for conducting objects is F=−k∇T​, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.

Q: using the formula attached to this question find the GINI Index if the Lorenz Function is Y= 0.92x1....

A: The given Lorenz function is,

Q: The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a tel...

A: Given information:Tyhe given function is cosh(x).

Q: Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z)  across the s...

A: To calculate the net outward flux of the given vector field across the given surface

Q: I need help about solving this problem. a) How do I find the time required to reach the maximum amou...

A: Let F be the amount of fertilizer. In 1 minute 1 gallon of solution comes in and 5 gallons of soluti...

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given curve:and region bound are:We need to find the volume of solid obtained by the given curve for...

Q: Answers for 10-12

A: We will solve Q-10  

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 1...

A:

Q: A van is accelerating at a rate of 7 meters per second squared. The initial velocity of the van is 6...

A: Given: The van is accelerating at a rate of 7 meters per second squared. That is, a(t) = 7.The initi...

Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2&gt...

A: The vector field is given as

Q: Evaluate the integral.   Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives. 

Q: Fourier's Law of heat transfer​ (or heat​ conduction) states that the heat flow vector F at a point ...

A: Given that,

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″   What is the order of the differential equation shown above?

A: The given differential equation is,  8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: Find the derivative of y with respect to x.

A: Given:The function 

Q: How do I choose  my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: You are given the four points in the plane A=(8,−8), B=(10,4), C=(12,−1), and D=(16,1). The graph of...

A: We have given the four point in the plane A, B, C and D.The total integral is to be the sum of the a...

Q: Which of the following is the power series representation for p(x)? A. B. 8+k -3 -3 k k 1 k k 1 O C....

A: Refer to the question,To find the interval of convergence of the provided series,

Q: curves. Find the volume of the solid generated when R is revolved about the x-axis Let R be the regi...

A: Use disk method to find the volume of the solid generated when R is revolved about the x-axis is cal...